Compute the derivative for r(t) = (1, 13, 14). d ar(1) r(t) = (f(t), g(t), h(t)) dt

Q: Outcome 6 Find the derivative from first principles, given y = √x²+b

A:

Q: For the functions w = xy + yz + xz, x=3u + 2v₁ y = 3u-2v, and z= uv, express Ju and using the chain…

A:

Q: -1 If .0 f(x) dx = 1 and ¹9(2) dx = − 1, what is the value of -5 -1 −5 ≤ x ≤ −1, −1≤ y ≤ 0? […

A:

Q: 1. d) e) Indicate if each statement Is True or False. Write the word True or False not T or F.…

A:

Q: Compute the following integrals. b) √m² sin (√x) √x dx

A:

Q: 9-14 Use the method of cylindrical shells to find the volume generated by rotating the region…

A:

Q: 1. Compute the given quantity: ∫∫(2xy)dxdy for x over the interval (0, 2) and y over the interval…

A: To compute the given quantity. for  over the interval  and  over the interval .Note: Since the…

Q: Evaluate the limit. lim (x,y)-(-3,3) 4x²-4y² x+y

A:

Q: 6. Twenty mathematics textbooks must be stacked in a row on a shelf. There are 5 identical calculus…

A: This is question of permutation and combination.Here we have to use of both Further calculation is…

Q: The velocity of a particle on the x-axis is given by the differential equation dx d=³√t, The…

A:

Q: Determine whether the series is convergent or divergent. Σ(13)

A:

Q: Jane is taking a history class. The teacher states that the population of a country is shrinking at…

A: Size of the population, P = 10e0.5t

Q: f(x) = = Find (fog)(x). Find the domain of (f o g)(x). (Enter your answer using interval notation.)…

A:

Q: Suppose an airplane is flying 170 mph with a heading 25° east of south (295° measured…

A:

Q: q 22. 16 determine the magnitude and direction of the vector v = and also show that  v = |v|u ,…

A:

Q: Evaluate the limit. x - 4xy x-4y lim (x,y) → (12,3)

A:

Q: Simplify the following expressions. sin x sec x sec² x-tan²x+cot² x sin² x cos 2x-cosx sin 2x+sin x

A:

Q: If x² + y² = 4, then O false O true dy dx ==3 Y

A:

Q: Find all the second-order partial derivatives of the function f(x,y) = 3x + 1y+2: 2²f 11 ах'…

A:

Q: 7. Identify if the statement is Always True, Sometimes True or Never True. If lim f(x) exists, then…

A:

Q: Find all the second-order partial derivatives of the following function. h(x,y) = 4xe + 7y +5

A:

Q: e) g(x) = (4x²+8)(3x4 - 11x² + 5)

A:

Q: Item 3 If f(x) = 2x² and g(x) = 1. (fg)(-3) II. (f- g)(2) 9 IV.(ƒ + g)(1) 0.5 108 The largest value…

A:

Q: Determine the interval(s) on which the function is (a) increasing, (b) decreasing, and (c) constant.…

A: From the given graph we can see that,The graph is decreasing at the interval   and at .And the graph…

Q: 3. Differentiate and simplify in fully factored form. a) f(x) = (1+x²2) 3 b) y = (3x² + 4)²(3 + x³)5

A:

Q: Sex sin⁹⁹⁹ (e*) cos³ (ex) dx

A:

Q: Using the substitution u = 1+x^2, convert the integral into one involving only the variable u. You…

A:

Q: Consider the curve y = x² + 7x + 3. (a) Find the slope of the secant line to the curve through the…

A:

Q: For the function f(x,y) = In (7x+2y), find and əx dy

A:

Q: Solve the equation below algebraically. Support your answer(s) by including the solution graphically…

A: The range of cosine function is .The period of cosine function is .

Q: Find the magnitude and direction angle for each vector. • 431-46j (5.-6) 6) RS where R=(3,-1) S=

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Evaluate the double integral J₂62 6xy dA, where D is the triangular region with vertices (0, 0), (1,…

A:

Q: 4. The amount of radioactive carbon-14 left in a sample of biological material over time is given by…

A: The amount of radioactive carbon-14 left in a sample of biological material over time is given by…

Q: Use integration to find f(3) if df dx = 3x 1/2 and f(1) = 5.

A:

Q: 5. Find the absolute maximum of f(x) = x¹e-77 on [0,4]

A: The given function is,

Q: Show that there are no points on the graph where tanx is horizontal.

A:

Q: True f must be continuous in its domain? or false: If f(x) is differentiable in its domain then

A:

Q: 202021: functions, integrals. Recall that we say a function g is even if and only i g(x) = g(-x) for…

A:

Q: the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the points…

A:

Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4. 2 #…

A:

Q: 3. True/False. Indicate whether each statement is true (T) or false (F). a) b) The derivative of a…

A: To indicate whether each of the following statement is true (T) or false (F).(a) The derivative of a…

Q: Use the properties of logarithms to evaluate the following expression log3(405) - log3(5) 3 81 A 12

A: We need to solve log problem..

Q: Minimize Szy +25zz + 5yz subject to zyz = 1 with z>0, y> 0, z > 0.

A: We need to Minimize S = xy + 25xz +5yz subject to xyz = 1 with x>0, y>0, z>0.

Q: The following table gives some of the values of g(x), g'(x), f(x) and f'(x): Use the table to find…

A: Question 1)We first need to find the derivative then apply the values from table:-Now, we find the…

Q: dQ Use the Chain Rule to find where Q=√√4x²+4y² + 2z², x = sint, y = cost, and z = cost. dt 7 dQ dt…

A:

Q: 2 5-x dy + xydx = 0

A:

Q: Evaluate the double integral 11₁₂²² x² dA, where D = {(x, y) : 1 ≤ x ≤e,0 ≤ y ≤ lnx}.

A:

Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

Q: lim x-o X 2e²x 2е 'te +2 Зезу зе 3х2х c2x +5

A:

Q: dy 7. a) Prove that, So √at-yt [ro] 4a√2π

A: